ALLSAT compressed with wildcards: From CNF's to orthogonal DNF's by imposing the clauses one by one

August 30, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Marcel Wild arXiv ID 1608.08472 Category cs.AI: Artificial Intelligence Cross-listed cs.LO Citations 3 Venue arXiv.org Last Checked 4 months ago
Abstract
We present a novel technique for converting a Boolean CNF into an orthogonal DNF, aka exclusive sum of products. Our method (which will be pitted against a hardwired command from Mathematica) zooms in on the models of the CNF by imposing its clauses one by one. Clausal Imposition invites parallelization, and wildcards beyond the common don't-care symbol compress the output. The method is most efficient for few but large clauses. Generalizing clauses one can in fact impose superclauses. By definition, superclauses are obtained from clauses by substituting each positive litereal by an arbitrary conjunction of positive literals.
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